An Operator Related to the Sub-Laplacian on the Quaternionic Heisenberg Group

被引：0
作者：
Haimeng Wang
Bei Wang
机构：
[1] Jiangsu second normal University,Department of Mathematics and Information Technology
来源：
Advances in Applied Clifford Algebras | 2022年 / 32卷
关键词：
Fundamental solution; The group Fourier transform; The non-isotropic quaternionic Heisenberg group; Sub-Laplacian; 22E30; 35A08;
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摘要：
We study an operator related to the sub-Laplacian on the non-isotropic quaternionic Heisenberg group and construct the fundamental solution for this operator. For the isotropic case, we derive the closed form of this solution. The techniques we used can be applied to the standard Heisenberg group. We also give the connection between this operator and the Heisenberg sub-Laplacian.
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